Mathematical modeling of sorption processes considering the transformation of the porous matrix

M.N. Kravchenko ∗ , M.I. Ivlev ∗∗ , K.D. Pantelei ∗∗∗

National University of Oil and Gas “Gubkin University”, Moscow, 119991 Russia

E-mail: ∗kravchenko.m@gubkin.ru, ∗∗mix.ivleff@gmail.com, ∗∗∗kpanteley@mail.ru

Received January 18, 2021

 

ORIGINAL ARTICLE

Full text PDF

DOI: 10.26907/2541-7746.2021.2.128-142

For citation: Kravchenko M.N., Ivlev M.I., Pantelei K.D. Mathematical modeling of sorption processes considering the transformation of the porous matrix. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2021, vol. 163, no. 2, pp. 128–142. doi: 10.26907/2541-7746.2021.2.128-142. (In Russian)

 

Abstract

The paper addresses the results of the polymer flooding process hydrodynamic modeling considering changes in the reservoir properties of the porous matrix and the fluids properties. Application of a multiphase filtration mathematical model requires the system closure considering the data of oil displacement with a specific type of polymer. A method for processing the results of the experiment on core samples with displacement process modeling, considering the real-time transformation of the pore size distribution curve during polymer adsorption, is suggested. Based on the hydrodynamic calculations, we estimate the dependence of the rate of the adsorption process on the concentration of the polymer solution, the rate of pumping of the surfactant through the sample, the processing time, and the current thickness of the polymer film formed for the specific compositions and structure of the sample used. A comparison of the simulation results with the data of dynamic experiments on oil displacement with Gum Arabic polymer solution showed a good correlation of the calculated and experimental data, which confirms the possibility of using a hydropercolation approach to predict the oil recovery coefficient when using various polymer substances at specific fields.

Keywords: numeric modeling, multiphase filtration, pore size distribution, polymer flooding

Acknowledgments. The study was supported by the Russian Foundation for Basic Research (project no. 19-07-00433).

References

  1. Timokhin P.Yu., Mikhailyuk M.V. Technology for creating a multitasking graphical shell to visualize a digital core model. Vestn. Kibern., 2018, no. 3, pp. 247–254. (In Russian)
  2. Mikhailyuk M.V., Timokhin P.Yu., Mal’tsev A.V., Nikitin V.F., Skryleva E.I., Tyurenkova V.V. Modeling and visualizing the process of oil displacement from a porous medium. Vestn. Kibern., 2016, no. 3, pp. 32–38. (In Russian)
  3. Kravchenko M.N., Kadet V.V., Yarysh V.V., Dieva N.N., Lishchuk A.N. Percolation approach to hydrodynamic modeling of flooding through active agents. SOCAR Proc., 2020, no. 1, pp. 029–035. doi: 10.5510/OGP20200100419.
  4. Zakirov T.R., Nikiforov A.I. The influence of filtering modes on the efficiency of acid treatment of oil. Neftepromysl. Delo, 2013, no. 8, pp. 21–26. (In Russian)
  5. Kravchenko M.N., Dieva N.N., Muradov A.V. Modeling the thermochemical treatment of kerogen-containing layers regarding changes in permeability and porosity. Sb. tr. XII Vseros. s’ezda po fundam. problemam teor. i prikl. mekhaniki [Proc. XII All-Russ. Conf. on Fundamental Problems of Theoretical and Applied Mechanics]. Vol. 4. Ufa, Izd. RITS BashGU, 2019, pp. 374–376. (In Russian)
  6. Dmitriev N.M., Maksimov V.M., Dmitriev M.N., Kuz’michev A.N., Muradov A.V., Kravchenko M.N. Two-phase filtration in anisotropic media. Theory and experiment. Sb. dokl. XI Vseros. s”ezda po fundam. problemam teor. i prikl. mekhanike [Proc. XI All-Russ. Conf. on Fundamental Problems of Theoretical and Applied Mechanics]. Kazan, Izd. KFU, 2015, pp. 1199–1201. (In Russian)
  7. John M.F., Olabode O.A., Egeonu G.I., Ojo T.I. Enhanced oil recovery of medium crude oil ( 31◦ Api) using nanoparticles and polymer. Int. J. Appl. Eng. Res., 2017, vol. 12, no. 19, pp. 8425–8435.
  8. Tsybul’skii S.P., Gusev N.I., Konstantinov A.A., Kravchenko M.N. Experimental determination of the effect of acid treatment of core samples on permeability and porosity anisotropy. Mezhdunar. nauch.-prakt. konf. “Aktual’nye voprosy issledocaniya neftegazvykh plastovykh sistem” [Proc. Int. Sci.-Pract. Conf. “Current Problems of Oil and Gas Reservoir Systems Research”]. Moscow, Gazprom VNIIGAZ, 2020, p. 140. (In Russian)
  9. Atgie M. Composition and structure of Gum Arabic in solution and at oil-water interfaces. PhD Thesis. Inst. Natl. Polytech. Toulouse, 2018. 163 p.
  10. Konstantinov M.Yu. Determination of relative phase permeability functions in the presence of capillary effects. Cand. Tech. Sci. Diss. Moscow, 2001. 185 p. (In Russian)
  11. Schneider F.N., Owens W.W. Steady state measurements of relative permeability for polymer/oil systems. SPE J., 1982, vol. 22, no. 01, pp. 79–86. doi: 10.2118/9408-PA.
  12. Liang J.-T., Sun H., Seright R.S. Why do gels reduce water permeability more than oil permeability? SPE Res. Eng., 1994, vol. 10, no. 04, pp. 282–286. doi: 10.2118/27829-PA.
  13. Seright R.S., Wang D., Lerner N., Nguen A., Sabid J., Tochor R. Beneficial relative permeabilities for polymer flooding. Proc. SPE Improved Oil Recovery Conf., Tulsa, Oklahoma, USA, Apr. 2018, 2018, art. SPE-190321-MS, pp. 14–18. doi: 10.2118/190321-MS.
  14. Egorov A.V., Hasanov Sh.M., Kravchenko M.N., Magadova L.A. Mathematical modeling of acid treatment of inhomogeneous limestone and sandstione reservoirs. Physical and Mathematical Modeling of Processes in Geomedia: Proc. 3rd Int. Sci. Sch. of Young Scientists. Moscow, 2017, pp. 16–18.
  15. Kadet V.V., Galechyan A.M. Percolation model of relative permeability hysteresis. J. Appl. Mech. Tech. Phys., 2013, vol. 54, no. 3, pp. 423–432. doi: 10.1134/S0021894413030115.
  16. Al-Assaf S., Amar V., Phillips G.O. Characterisation of Gum Ghatti and comparison with Gum Arabic. In: Williams P.A., Phillips G.O. (Eds.) Gums and Stabilisers for the Food Industry. R. Soc. Chem., 2008, pp. 280–290.
  17. Haddad D.M. Improvement of the process of obtaining refined Gum Arabic. Cand. Tech. Sci. Diss. Moscow, 2009. 104 p. (In Russian)

 

The content is available under the license Creative Commons Attribution 4.0 License.